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2/29 Warm Up- Monday Test Today! Make sure you have: BACKPACKS IN BACK OF ROOM Something to write with Flipchart Calculator
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2/29 Test Tips What to do? multiply “a” times “c” factor using y= number/x second graph write whole numbers on t chart add them to make “b” divide by “a” reduce fraction using alpha y= enter move bottom number to front ax 2 + bx + c++ ax 2 – bx + c–– ax 2 + bx – c–+ ax 2 – bx – c +–
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3/1 Warm Up- Tuesday Finishing Test Today! Make sure you have: BACKPACKS IN BACK OF ROOM Something to write with Flipchart Calculator
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3/1 Test Tips What to do? multiply “a” times “c” factor using y= number/x second graph write whole numbers on t chart add them to make “b” divide by “a” reduce fraction using alpha y= enter move bottom number to front ax 2 + bx + c++ ax 2 – bx + c–– ax 2 + bx – c–+ ax 2 – bx – c +–
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3/2 Warm Up- Wednesday Solve the formula pV = nRT for n. A. n = pV – RT B. n = pVRT C. n = pV RT D. n = pV Show your work OR explain your reasoning here.
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3/2 Objective: I will be able to graph quadratic functions in standard form.
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Quadratics
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ax 2 + bx + c =0 Standard Form of Equation
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the u-shaped curve a quadratic equation makes when graphed. Parabola
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Types of Parabolas If ‘a’ is POSITIVE, the parabola will OPEN UPWARD If ‘a’ is NEGATIVE, the parabola will OPEN DOWNWARD
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Axis of Symmetry The vertical line that divides the parabola into two equal parts. It is the x-value of quadratic equation. To find x-value use this formula:
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Vertex The turning point of the parabola. Written as (x, y) To find vertex: use axis of symmetry formula to find x. plug x into equation to find y.
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Types of Vertex Minimum: vertex is lowest point ‘a’ is positive Maximum: vertex is highest point ‘a’ is negative
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3/3 Warm Up- Thursday A plumber finished three jobs on Tuesday. The first two only cost the owner the $45 trip fee because they took very little time to complete. For the third job, the plumber charged the trip fee plus 6 times his hourly rate. If the plumber received a total of $303 for the day, what is the hourly rate?
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I will be able to graph quadratic functions in standard form. 3/3 Objective
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3/3 Example: Axis of Symmetry Vertex (plug in x- value) y = ( ) 2 – 4( )+ 5 y = x 2 – 4x + 5 Maximum or Minimum? Graph:
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3/3 Example: Axis of Symmetry Vertex (plug in x- value) y = -( ) 2 + 2( ) - 1 y = -x 2 + 2x - 1 Maximum or Minimum? Graph:
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Graphing Quadratic Equations Worksheet 3/3 Assignment
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3/4: Warm Up- Friday An architect builds a scale model of a skyscraper for a land development proposal. The model is 2 ft tall. The scale of the model is 1 in. : 12.3 m. How tall is the proposed skyscraper in meters? Show your work.
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3/4 Objectives I will be able to graph quadratic functions in standard form.
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3/4 Example: Calculator y = x 2 – 4x + 5 Plug equation into y= Go to 2 nd Graph Vertex: where is the turning point? Axis of Symmetry: what is the x-value of the turning point Graph: choose 2 points higher than vertex and 2 points lower and graph. Maximum or Minimum?
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3/4 Example: Calculator Plug equation into y= Go to 2 nd Graph Vertex: where is the turning point? Axis of Symmetry: what is the x-value of the turning point Graph: choose 2 points higher than vertex and 2 points lower and graph. Maximum or Minimum? y = -x 2 + 2x - 1
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